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Simplifying -5y + -7 = 3(y + 1) + 6 Reorder the terms: -7 + -5y = 3(y + 1) + 6 Reorder the terms: -7 + -5y = 3(1 + y) + 6 -7 + -5y = (1 * 3 + y * 3) + 6 -7 + -5y = (3 + 3y) + 6 Reorder the terms: -7 + -5y = 3 + 6 + 3y Combine like terms: 3 + 6 = 9 -7 + -5y = 9 + 3y Solving -7 + -5y = 9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -7 + -5y + -3y = 9 + 3y + -3y Combine like terms: -5y + -3y = -8y -7 + -8y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 -7 + -8y = 9 + 0 -7 + -8y = 9 Add '7' to each side of the equation. -7 + 7 + -8y = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -8y = 9 + 7 -8y = 9 + 7 Combine like terms: 9 + 7 = 16 -8y = 16 Divide each side by '-8'. y = -2 Simplifying y = -2
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